मराठी

The Sum of Three Numbers in Ap is 3 and Their Product is -35. Find the Numbers.

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प्रश्न

The sum of three numbers in AP is 3 and their product is -35. Find the numbers.

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उत्तर

Let the required numbers be (a - d ),a and (a +d).

Then  (a-d) +a +(a+d) = 3

⇒  3a = 3 

⇒  a = 1

Also , (a- d) .a . (a +d) = -35

⇒  a,`(a^2 - d^2 ) = -35`

⇒  1.`(1-d^2 ) =-35`

⇒  `d^2 = 36 `

⇒  `d = +- 6`

Thus , a = 1 and d = `+-6`

Hence, the required numbers are (-5 ,1 and 7 ) or (7,1 and -5)

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पाठ 5: Arithmetic Progression - Exercises 2

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 5 Arithmetic Progression
Exercises 2 | Q 7

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